Hint: Divide the numerator by the denominator
Answer key at book:
6215/12
Hello,
honestly I don't understand your hint
∫(√(t) - 1/√(t) + t^(1/3))dt = ∫[from 1 to 64](t^(1/2))dt - ∫(t^(-1/2))dt + ∫(t^(1/3))dt =
[from 1 to 64]((2/3)t^(3/2) - 2*t^(1/2) + (3/4)*t^(4/3))
Now plug in the known values:
[from 1 to 64]((2/3)t^(3/2) - 2*t^(1/2) + (3/4)*t^(4/3)) = (1552/3) - (-7/12) = 6215/12
EB